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Finding the Fourth Proportional to 701.74, 968.47 and 391.26

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Solution

The fourth proportional to 701.74, 968.47 and 391.26 is: 539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.74 : 968.47 = 391.26 : x
  2. Step 2: Convert to fraction form
    701.74/968.47 = 391.26/x
  3. Step 3: Cross multiply
    701.74x = 968.47 × 391.26
  4. Step 4: Simplify right side
    701.74x = 378,923.57
  5. Step 5: Solve for x
    x = 378,923.57/701.74
  6. Step 6: Final answer
    x = 539.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.